id:A123681 - OEIS Search Results

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a(n) = (1/(n+1)) * Sum_{k=0..n} C(n+k-1,k)!*k! = A123680(n)/(n+1).

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1, 1, 3, 19, 197, 2841, 52327, 1171871, 30899529, 937529317, 32173291931, 1232093935227, 52088478142861, 2409578607253169, 121067200114483407, 6565538372492694871, 382234458749760846737, 23777755561583494209981 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n) = (1/(n+1)) * Sum_{k=0..n} k! * [x^k] 1/(1-x)^n.`
	PROGRAM	`(PARI) a(n)=sum(k=0, n, binomial(n+k-1, k)*k!)/(n+1)`
	CROSSREFS	`Cf. A123680.` `Adjacent sequences: A123678 A123679 A123680 this_sequence A123682 A123683 A123684` `Sequence in context: A079145 A000763 A001832 this_sequence A007151 A127502 A027546`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Oct 05 2006`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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